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Finding the Fourth Proportional to 131.69, 197.55 and 77.57

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Solution

The fourth proportional to 131.69, 197.55 and 77.57 is: 116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.69 : 197.55 = 77.57 : x
  2. Step 2: Convert to fraction form
    131.69/197.55 = 77.57/x
  3. Step 3: Cross multiply
    131.69x = 197.55 × 77.57
  4. Step 4: Simplify right side
    131.69x = 15,322.97
  5. Step 5: Solve for x
    x = 15,322.97/131.69
  6. Step 6: Final answer
    x = 116.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.